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Finding the Fourth Proportional to 43,501.69, 65,186.11 and 31,047.94

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Solution

The fourth proportional to 43,501.69, 65,186.11 and 31,047.94 is: 46,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,501.69 : 65,186.11 = 31,047.94 : x
  2. Step 2: Convert to fraction form
    43,501.69/65,186.11 = 31,047.94/x
  3. Step 3: Cross multiply
    43,501.69x = 65,186.11 × 31,047.94
  4. Step 4: Simplify right side
    43,501.69x = 2,023,894,432.11
  5. Step 5: Solve for x
    x = 2,023,894,432.11/43,501.69
  6. Step 6: Final answer
    x = 46,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.